3868128 has 144 divisors (see below), whose sum is σ = 12736080. Its totient is φ = 1140480.

The previous prime is 3868121. The next prime is 3868133. The reversal of 3868128 is 8218683.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3868092 and 3868101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104526 + ... + 104562.

It is an arithmetic number, because the mean of its divisors is an integer number (88445).

Almost surely, 2^3868128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368040).

3868128 is an abundant number, since it is smaller than the sum of its proper divisors (8867952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3868128 is a wasteful number, since it uses less digits than its factorization.

3868128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3868128 is about 1966.7557041992. The cubic root of 3868128 is about 156.9761279241.

The spelling of 3868128 in words is "three million, eight hundred sixty-eight thousand, one hundred twenty-eight".